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Question: Derive the dual problem of the following risk model:
min Φ x'∑cx 2
subject to c'x ≥ R
Ax ≤ b, x ≥ 0
where R is revenue, φ > 0, and all the other symbols retain the usual meaning. Show that this primal model is equivalent to the original Freund's specification.
a. Formulate an ILP model for this problem. b. Create a spreadsheet model for this problem and solve it. c. What is the optimal solution?
Find a set of coset representatives of S3 in S4 (i.e., one from each coset). Find a property on the permutations of S4 such that σ and τ share this property if and only if they are in the same coset
When Thomson experimented with his apparatus, he noticed that in one run, the electron beam dropped 1.35 cm.
Using the States Data Set and PHStat, create the multiple regression prediction equation.
A bank is quoting the following exchange rates against the dollar for the Swiss franc and the Australian dollar:
Mary and Marcia Brown are two sisters currently attending university together. Each requires advising in five subjects: history, English, mathematics, science.
Suppose you win the lottery with a jackpot of $10 million. But that's $10 million if you wait 10 years to get your payout. What is the value you could get today if the interest rate is 6%?
Byers and Williams ("Viscosities of Binary and Ternary Mixtures of Polynomatic Hydrocarbons," Journal of Chemical and Engineering Data, 32, 349-354, 1987).
Two electrons repel each other with a force of 10-8N. How far apart are they?
Formulate a linear programming model of the problem. Describe the optimal solution within the context of the problem.
Two communication nodes 1 and 2 send files to another node 3. Files from1I and 2 require on the average R1 and R2 time units for transmission, respectively.
Suppose it's known that the standard deviation of the difference of the service time is 5 minutes. If you want the 95% confidence intervals for the mean difference of the service time between females and males narrower than 4 minutes. Estimate how..
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